Boundedness criteria for the fractional integral and fractional maximal operator on Morrey spaces generated by the Gegenbauer differential operator

In this paper, we establish necessary and sufficient conditions for the boundedness of the fractional integral on G-Morrey space generated by Gegenbauer differential operator. A similar problem is studied for the fractional maximal operator.

Automated summary

In this paper, necessary and sufficient conditions for the boundedness of the fractional integral on G-Morrey space generated by Gegenbauer differential operator are established. A similar problem is also studied for the fractional maximal operator.